Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet

TL;DR

This study investigates the magnetization process of spin-S Heisenberg antiferromagnets on the kagome lattice, revealing a universal one-third magnetization plateau across different spin values through numerical diagonalization.

Contribution

It provides numerical evidence for a universal magnetization plateau at one-third saturation in the kagome-lattice Heisenberg antiferromagnet for various spin values, comparing with perturbation theory results.

Findings

Magnetization plateau at one-third saturation observed for S=1, 3/2, 2, 5/2.

Edge fields and plateau width depend on spin S.

Results consistent with recent real-space perturbation theory.

Abstract

The magnetization process of the spin-S Heisenberg antiferromagnet on the kagome lattice is studied by the numerical-diagonalization method. Our numerical-diagonalization data for small finite-size clusters with S=1, 3/2, 2, and 5/2 suggest that a magnetization plateau appears at one-third of the height of the saturation in the magnetization process irrespective of S. We discuss the S dependences of the edge fields and the width of the plateau in comparison with recent results obtained by real-space perturbation theory.